TSTP Solution File: SET936+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET936+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:57:12 EDT 2022
% Result : Theorem 221.03s 213.84s
% Output : Proof 221.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET936+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 01:57:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 221.03/213.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 221.03/213.84 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 221.03/213.85
% 221.03/213.85 %-----------------------------------------------------
% 221.03/213.85 fof(d1_zfmisc_1, axiom, ! [_45290, _45293] : (_45293 = powerset(_45290) <=> ! [_45311] : (in(_45311, _45293) <=> subset(_45311, _45290))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 221.03/213.85 fof(t1_xboole_1, axiom, ! [_45499, _45502, _45505] : (subset(_45499, _45502) & subset(_45502, _45505) => subset(_45499, _45505)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 221.03/213.85 fof(commutativity_k3_xboole_0, axiom, ! [_45685, _45688] : set_intersection2(_45685, _45688) = set_intersection2(_45688, _45685), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 221.03/213.85 fof(t17_xboole_1, axiom, ! [_45831, _45834] : subset(set_intersection2(_45831, _45834), _45831), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_xboole_1)).
% 221.03/213.85 fof(d3_xboole_0, axiom, ! [_45965, _45968, _45971] : (_45971 = set_intersection2(_45965, _45968) <=> ! [_45992] : (in(_45992, _45971) <=> in(_45992, _45965) & in(_45992, _45968))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 221.03/213.85 fof(t2_tarski, axiom, ! [_46221, _46224] : (! [_46232] : (in(_46232, _46221) <=> in(_46232, _46224)) => _46221 = _46224), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)).
% 221.03/213.85 fof(t83_zfmisc_1, conjecture, ! [_46439, _46442] : powerset(set_intersection2(_46439, _46442)) = set_intersection2(powerset(_46439), powerset(_46442)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t83_zfmisc_1)).
% 221.03/213.85 fof(reflexivity_r1_tarski, axiom, ! [_46638, _46641] : subset(_46638, _46638), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 221.03/213.85 fof(t19_xboole_1, axiom, ! [_46794, _46797, _46800] : (subset(_46794, _46797) & subset(_46794, _46800) => subset(_46794, set_intersection2(_46797, _46800))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_xboole_1)).
% 221.03/213.85
% 221.03/213.85 cnf(1, plain, [-(_7022 = _7022)], theory(equality)).
% 221.03/213.85 cnf(2, plain, [_11234 = powerset(_11176), -(in(_11366, _11234)), subset(_11366, _11176)], clausify(d1_zfmisc_1)).
% 221.03/213.85 cnf(3, plain, [-(subset(_13937, _14048)), subset(_13937, _13993), subset(_13993, _14048)], clausify(t1_xboole_1)).
% 221.03/213.85 cnf(4, plain, [-(set_intersection2(_10866, _10911) = set_intersection2(_10911, _10866))], clausify(commutativity_k3_xboole_0)).
% 221.03/213.85 cnf(5, plain, [-(subset(set_intersection2(_13157, _13199), _13157))], clausify(t17_xboole_1)).
% 221.03/213.85 cnf(6, plain, [-(_11796 = set_intersection2(_11657, _11727)), -(in(2 ^ [_11796, _11727, _11657], _11796)), -(in(2 ^ [_11796, _11727, _11657], _11727))], clausify(d3_xboole_0)).
% 221.03/213.85 cnf(7, plain, [-(_14394 = _14450), -(in(5 ^ [_14450, _14394], _14394)), -(in(5 ^ [_14450, _14394], _14450))], clausify(t2_tarski)).
% 221.03/213.85 cnf(8, plain, [-(_11796 = set_intersection2(_11657, _11727)), -(in(2 ^ [_11796, _11727, _11657], _11796)), -(in(2 ^ [_11796, _11727, _11657], _11657))], clausify(d3_xboole_0)).
% 221.03/213.85 cnf(9, plain, [powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))], clausify(t83_zfmisc_1)).
% 221.03/213.85 cnf(10, plain, [_11796 = set_intersection2(_11657, _11727), in(_11960, _11796), -(in(_11960, _11657))], clausify(d3_xboole_0)).
% 221.03/213.85 cnf(11, plain, [_11796 = set_intersection2(_11657, _11727), -(in(_11960, _11796)), in(_11960, _11657), in(_11960, _11727)], clausify(d3_xboole_0)).
% 221.03/213.85 cnf(12, plain, [-(subset(_12933, _12933))], clausify(reflexivity_r1_tarski)).
% 221.03/213.85 cnf(13, plain, [-(subset(_8940, _9071)), subset(_8873, _9006), _8873 = _8940, _9006 = _9071], theory(equality)).
% 221.03/213.85 cnf(14, plain, [_11234 = powerset(_11176), in(_11366, _11234), -(subset(_11366, _11176))], clausify(d1_zfmisc_1)).
% 221.03/213.85 cnf(15, plain, [-(_14394 = _14450), in(5 ^ [_14450, _14394], _14394), in(5 ^ [_14450, _14394], _14450)], clausify(t2_tarski)).
% 221.03/213.85 cnf(16, plain, [-(subset(_13424, set_intersection2(_13483, _13541))), subset(_13424, _13483), subset(_13424, _13541)], clausify(t19_xboole_1)).
% 221.03/213.85 cnf(17, plain, [-(_11796 = set_intersection2(_11657, _11727)), in(2 ^ [_11796, _11727, _11657], _11796), in(2 ^ [_11796, _11727, _11657], _11657), in(2 ^ [_11796, _11727, _11657], _11727)], clausify(d3_xboole_0)).
% 221.03/213.85
% 221.03/213.85 cnf('1',plain,[powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))],start(9)).
% 221.03/213.85 cnf('1.1',plain,[-(powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ [])), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ []))],extension(17,bind([[_11796, _11657, _11727], [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(6 ^ []), powerset(7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ [])))), powerset(set_intersection2(6 ^ [], 7 ^ [])) = powerset(set_intersection2(6 ^ [], 7 ^ [])), subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ []))],extension(2,bind([[_11234, _11366, _11176], [powerset(set_intersection2(6 ^ [], 7 ^ [])), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1.1',plain,[-(powerset(set_intersection2(6 ^ [], 7 ^ [])) = powerset(set_intersection2(6 ^ [], 7 ^ [])))],extension(1,bind([[_7022], [powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.1.2',plain,[-(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ []))), subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 6 ^ []), subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 7 ^ [])],extension(16,bind([[_13483, _13424, _13541], [6 ^ [], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 7 ^ []]]))).
% 221.03/213.85 cnf('1.1.1.2.1',plain,[-(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 6 ^ [])), powerset(6 ^ []) = powerset(6 ^ []), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ []))],extension(14,bind([[_11176, _11366, _11234], [6 ^ [], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1.2.1.1',plain,[-(powerset(6 ^ []) = powerset(6 ^ []))],extension(1,bind([[_7022], [powerset(6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1.2.1.2',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ []))), -(powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(8,bind([[_11727, _11657, _11796], [powerset(7 ^ []), powerset(6 ^ []), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.1.2.1.2.1',plain,[powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))],extension(9)).
% 221.03/213.85 cnf('1.1.1.2.1.2.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.1')).
% 221.03/213.85 cnf('1.1.1.2.2',plain,[-(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 7 ^ [])), powerset(7 ^ []) = powerset(7 ^ []), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ []))],extension(14,bind([[_11176, _11366, _11234], [7 ^ [], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1.2.2.1',plain,[-(powerset(7 ^ []) = powerset(7 ^ []))],extension(1,bind([[_7022], [powerset(7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.1.2.2.2',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ []))), -(powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(6,bind([[_11727, _11657, _11796], [powerset(7 ^ []), powerset(6 ^ []), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.1.2.2.2.1',plain,[powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))],extension(9)).
% 221.03/213.85 cnf('1.1.1.2.2.2.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.1')).
% 221.03/213.85 cnf('1.1.2',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ []))), -(powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(8,bind([[_11727, _11657, _11796], [powerset(7 ^ []), powerset(6 ^ []), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.1',plain,[powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))],extension(9)).
% 221.03/213.85 cnf('1.1.2.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))), in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ [])))],extension(11,bind([[_11657, _11796, _11960, _11727], [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.2.1',plain,[-(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(1,bind([[_7022], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))]]))).
% 221.03/213.85 cnf('1.1.2.2.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ [])), -(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])))],extension(14,bind([[_11234, _11366, _11176], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1',plain,[-(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ []))), -(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))), -(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(7,bind([[_14394, _14450], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.1',plain,[in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), -(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(10,bind([[_11796, _11727, _11960, _11657], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), powerset(set_intersection2(6 ^ [], 7 ^ [])), 5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.1.1',plain,[-(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(1,bind([[_7022], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.1.2',plain,[in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))), -(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ []))), in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(15,bind([[_14450, _14394], [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.1.2.1',plain,[set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ []))],reduction('1.1.2.2.2')).
% 221.03/213.85 cnf('1.1.2.2.2.1.1.2.2',plain,[-(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))))],reduction('1.1.2.2.2.1')).
% 221.03/213.85 cnf('1.1.2.2.2.1.2',plain,[in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), -(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))), in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ [])))],extension(11,bind([[_11657, _11796, _11960, _11727], [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), 5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.2.1',plain,[-(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(1,bind([[_7022], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.2.2',plain,[in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))), -(set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ []))), in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ [])))],extension(15,bind([[_14394, _14450], [set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.2.2.2.1.2.2.1',plain,[set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ []))) = powerset(set_intersection2(6 ^ [], 7 ^ []))],reduction('1.1.2.2.2')).
% 221.03/213.85 cnf('1.1.2.2.2.1.2.2.2',plain,[-(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))))],reduction('1.1.2.2.2.1')).
% 221.03/213.85 cnf('1.1.2.2.2.1.2.3',plain,[-(in(5 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(set_intersection2(6 ^ [], 7 ^ [])))], powerset(set_intersection2(6 ^ [], 7 ^ []))))],reduction('1.1.2.2.2.1')).
% 221.03/213.85 cnf('1.1.2.2.2.2',plain,[subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])), -(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 6 ^ [])), subset(set_intersection2(6 ^ [], 7 ^ []), 6 ^ [])],extension(3,bind([[_13937, _13993, _14048], [2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 6 ^ []]]))).
% 221.03/213.85 cnf('1.1.2.2.2.2.1',plain,[subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 6 ^ []), powerset(6 ^ []) = powerset(6 ^ []), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ [])))],extension(2,bind([[_11176, _11366, _11234], [6 ^ [], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.2.2.2.2.1.1',plain,[-(powerset(6 ^ []) = powerset(6 ^ []))],extension(1,bind([[_7022], [powerset(6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.2.2.2.2.1.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(6 ^ []))],reduction('1.1')).
% 221.03/213.85 cnf('1.1.2.2.2.2.2',plain,[-(subset(set_intersection2(6 ^ [], 7 ^ []), 6 ^ [])), subset(set_intersection2(6 ^ [], 7 ^ []), 6 ^ []), subset(6 ^ [], 6 ^ [])],extension(3,bind([[_13937, _13993, _14048], [set_intersection2(6 ^ [], 7 ^ []), 6 ^ [], 6 ^ []]]))).
% 221.03/213.85 cnf('1.1.2.2.2.2.2.1',plain,[-(subset(set_intersection2(6 ^ [], 7 ^ []), 6 ^ []))],extension(5,bind([[_13199, _13157], [7 ^ [], 6 ^ []]]))).
% 221.03/213.85 cnf('1.1.2.2.2.2.2.2',plain,[-(subset(6 ^ [], 6 ^ []))],extension(12,bind([[_12933], [6 ^ []]]))).
% 221.03/213.85 cnf('1.1.2.2.3',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))))],lemmata('1.1')).
% 221.03/213.85 cnf('1.1.3',plain,[-(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ []))), -(powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))))],extension(6,bind([[_11727, _11657, _11796], [powerset(7 ^ []), powerset(6 ^ []), powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.3.1',plain,[powerset(set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(powerset(6 ^ []), powerset(7 ^ []))],extension(9)).
% 221.03/213.85 cnf('1.1.3.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(set_intersection2(6 ^ [], 7 ^ []))), powerset(set_intersection2(6 ^ [], 7 ^ [])) = powerset(set_intersection2(6 ^ [], 7 ^ [])), -(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])))],extension(14,bind([[_11234, _11366, _11176], [powerset(set_intersection2(6 ^ [], 7 ^ [])), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.1',plain,[-(powerset(set_intersection2(6 ^ [], 7 ^ [])) = powerset(set_intersection2(6 ^ [], 7 ^ [])))],extension(1,bind([[_7022], [powerset(set_intersection2(6 ^ [], 7 ^ []))]]))).
% 221.03/213.85 cnf('1.1.3.2.2',plain,[subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])), -(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])))), subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(7 ^ [], 6 ^ []))],extension(16,bind([[_13541, _13424, _13483], [set_intersection2(6 ^ [], 7 ^ []), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(7 ^ [], 6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1',plain,[subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ []))), -(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 7 ^ [])), subset(set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), 7 ^ [])],extension(3,bind([[_13937, _13993, _14048], [2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), 7 ^ []]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1.1',plain,[subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 7 ^ []), powerset(7 ^ []) = powerset(7 ^ []), -(in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ [])))],extension(2,bind([[_11176, _11366, _11234], [7 ^ [], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1.1.1',plain,[-(powerset(7 ^ []) = powerset(7 ^ []))],extension(1,bind([[_7022], [powerset(7 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1.1.2',plain,[in(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], powerset(7 ^ []))],reduction('1.1')).
% 221.03/213.85 cnf('1.1.3.2.2.1.2',plain,[-(subset(set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), 7 ^ [])), subset(set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(7 ^ [], 6 ^ [])), subset(set_intersection2(7 ^ [], 6 ^ []), 7 ^ [])],extension(3,bind([[_13937, _13993, _14048], [set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(7 ^ [], 6 ^ []), 7 ^ []]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1.2.1',plain,[-(subset(set_intersection2(set_intersection2(7 ^ [], 6 ^ []), set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(7 ^ [], 6 ^ [])))],extension(5,bind([[_13199, _13157], [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(7 ^ [], 6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.2.1.2.2',plain,[-(subset(set_intersection2(7 ^ [], 6 ^ []), 7 ^ []))],extension(5,bind([[_13199, _13157], [6 ^ [], 7 ^ []]]))).
% 221.03/213.85 cnf('1.1.3.2.2.2',plain,[-(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(7 ^ [], 6 ^ []))), subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])), 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])] = 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ [])],extension(13,bind([[_8873, _8940, _9006, _9071], [2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ []), set_intersection2(7 ^ [], 6 ^ [])]]))).
% 221.03/213.85 cnf('1.1.3.2.2.2.1',plain,[-(subset(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])], set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.1.3.2')).
% 221.03/213.85 cnf('1.1.3.2.2.2.2',plain,[-(2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])] = 2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])])],extension(1,bind([[_7022], [2 ^ [powerset(set_intersection2(6 ^ [], 7 ^ [])), powerset(7 ^ []), powerset(6 ^ [])]]]))).
% 221.03/213.85 cnf('1.1.3.2.2.2.3',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(4,bind([[_10911, _10866], [7 ^ [], 6 ^ []]]))).
% 221.03/213.85 %-----------------------------------------------------
% 221.03/213.85
% 221.03/213.85 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------